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Technical Combinatory Logic, Volumes I
Posted on 2010-04-14
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More Combinatory Logic, Volumes I This book is the first volume of a projected two-volume treatise on combinatory logic. Combinatory logic is concerned with certain basic notions of the foundations of mathematics which are usually used in an intuitive and unanalysed way. Such notions include substitution, usually introduced by the use of variables, and classification of the entities of a system into types, which is usually provided for by rules which are auxiliary to, but not part of, the system. The part of combinatory logic which is concerned with questions of a fundamental nature which, like substitution, involve variables, is called the theory of combinators. Descriptions of parts of this theory are available in a number of papers by Curry and Feys, Kleene, Rosser, Rosenbloom, the reviewer, and others. The material in this book recapitulates and organizes the central results, and furnishes some new ones. This part of combinatory logic is closely allied to some of the theories of lambda conversion due to Church. My Links To thank me use my links, please!
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